A note on the quantum-mechanical Ricci flow
High Energy Physics - Theory
2010-05-28 v3 Mathematical Physics
math.MP
Quantum Physics
Abstract
We obtain Schroedinger quantum mechanics from Perelman's functional and from the Ricci flow equations of a conformally flat Riemannian metric on a closed 2-dimensional configuration space. We explore links with the recently discussed "emergent quantum mechanics".
Keywords
Cite
@article{arxiv.0808.2717,
title = {A note on the quantum-mechanical Ricci flow},
author = {J. M. Isidro and J. L. G. Santander and P. Fernandez de Cordoba},
journal= {arXiv preprint arXiv:0808.2717},
year = {2010}
}
Comments
8 pages, minor corrections, discussion expanded